World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
4700
World Ranking
3471
National Ranking
215

Lutz Volkmann publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Lutz Volkmann sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 443 publications — 95th percentile

95% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Lutz Volkmann D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Lutz Volkmann sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Lutz Volkmann is affiliated with RWTH Aachen University in Germany and has contributed extensively to the field of computer science, particularly focusing on computational theory and mathematics. Their research encompasses a broad range of topics related to advanced graph theory and its applications.

The scientist's main fields of study fall under computer science, with a significant concentration on computational theory and mathematics. Subfields include:

  • Computational Theory and Mathematics
  • Computer Networks and Communications
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Economics and Econometrics

Volkmann's work addresses several core topics, reflecting a deep engagement with graph theory and optimization problems:

  • Advanced Graph Theory Research
  • Complexity and Algorithms in Graphs
  • Graph Labeling and Dimension Problems
  • Graph theory and applications
  • Limits and Structures in Graph Theory
  • Optimization and Search Problems
  • Interconnection Networks and Systems

In recent years, Volkmann has authored and contributed to multiple publications including:

  • "Varieties of Roman domination II," 2020, AKCE International Journal of Graphs and Combinatorics
  • "The Roman domatic problem in graphs and digraphs: a survey," 2020, Discussiones Mathematicae Graph Theory
  • "Roman 3-domination (double Italian domination)," 2020, Discrete Applied Mathematics
  • "Total double Roman domination in graphs," 2020, DOAJ (DOAJ: Directory of Open Access Journals)
  • "Graphs with Large Italian Domination Number," 2020, Bulletin of the Malaysian Mathematical Sciences Society

The frequent venues in which Volkmann publishes research include:

  • AKCE International Journal of Graphs and Combinatorics
  • DOAJ (DOAJ: Directory of Open Access Journals)
  • Communications in combinatorics and optimization
  • arXiv (Cornell University)
  • Discussiones Mathematicae Graph Theory

Collaboration plays a role in Volkmann's work, with numerous joint projects alongside key coauthors such as:

  • Seyed Mahmoud Sheikholeslami
  • Doost Ali Mojdeh
  • Mustapha Chellali
  • Yubao Guo
  • Nader Jafari Rad

Best Publications

  • Einführung in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen

    Gerhard Jank;Lutz Volkmann

  • Wiener index versus maximum degree in trees

    Miranca Fischermann;Arne Hoffmann;Dieter Rautenbach;László Székely

  • Maximally edge-connected and vertex-connected graphs and digraphs: A survey

    Angelika Hellwig;Lutz Volkmann

  • k -Domination and k -Independence in Graphs: A Survey

    Mustapha Chellali;Odile Favaron;Adriana Hansberg;Lutz Volkmann

  • Edge-cuts leaving components of order at least three

    Paul Bonsma;Nicola Ueffing;Lutz Volkmann

  • Meromorphe funktionen, die mit ihrer ersten und zweiten ableitung einen endlichen wert teilen

    Gerhard Jank;Erwin Mues;Lutz Volkmann

  • A classification of locally semicomplete digraphs

    Jørgen Bang-Jensen;Yubao Guo;Gregory Gutin;Lutz Volkmann

  • Extremal Chemical Trees

    Miranca Fischermann;Ivan Gutman;Arne Hoffmann;Dieter Rautenbach

  • Sufficient conditions for graphs to be λ′-optimal, super-edge-connected, and maximally edge-connected

    Angelika Hellwig;Lutz Volkmann

  • Cycles in multipartite tournaments: results and problems

    Lutz Volkmann

  • Varieties of Roman domination II

    Unknown

  • Sufficient conditions for λ′-optimality in graphs of diameter 2

    Angelika Hellwig;Lutz Volkmann

  • Total Roman domination number of trees

    Lutz Volkmann;S. M. Sheikholeslami;S. Nazari-Moghaddam;Jafar Amjadi

  • Roman Domination in Graphs

    Mustapha Chellali;Nader Jafari Rad;Seyed Mahmoud Sheikholeslami;Lutz Volkmann

  • New bounds on the k-domination number and the k-tuple domination number

    Dieter Rautenbach;Lutz Volkmann

  • On k-domination and minimum degree in graphs

    Odile Favaron;Adriana Hansberg;Lutz Volkmann

  • Fundamente der Graphentheorie

    Lutz Volkmann

  • The k-rainbow domatic number of a graph

    Seyed Mahmoud Sheikholeslami;Lutz Volkmann

  • Varieties of Roman domination II

    M. Chellali;N. Jafari Rad;S. M. Sheikholeslami;Lutz Volkmann

  • Note: Inverse degree and edge-connectivity

    Peter Dankelmann;Angelika Hellwig;Lutz Volkmann

  • Multipartite tournaments: A survey

    Lutz Volkmann

  • Vertex pancyclic graphs

    Bert Randerath;Ingo Schiermeyer;Meike Tewes;Lutz Volkmann

  • Upper bounds on the k-domination number and the k-Roman domination number

    Adriana Hansberg;Lutz Volkmann

Frequent Co-Authors

Teresa W. Haynes
Teresa W. Haynes East Tennessee State University
Michael A. Henning
Michael A. Henning University of Johannesburg
Anders Yeo
Anders Yeo University of Southern Denmark
Ivan Gutman
Ivan Gutman University of Kragujevac
Gregory Gutin
Gregory Gutin Royal Holloway University of London
Paul L. Butzer
Paul L. Butzer RWTH Aachen University

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